Kunze Linear Algebra · Problem 10.1.7

Bilinear Forms

Mathematics — Methods · degenerate-bilinear-form

Problem

Let ff be the bilinear form defined in Exercise 6. Show that ff is degenerate (not non-degenerate). Let V1V_1 be the subspace of VV consisting of the matrices of trace 00, and let f1f_1 be the restriction of ff to V1V_1. Show that f1f_1 is non-degenerate.

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